On the space-time analyticity of the Keller-Segel-Navier-Stokes system
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910321002676224 |
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| author | Abdo, Elie Hu, Zhongtian |
| author_facet | Abdo, Elie Hu, Zhongtian |
| contents | In this paper, we study the coupled Keller-Segel-Navier-Stokes system, which models chemotaxis occuring in ambient viscous fluid. We consider this nonlinear, nonlocal system on a periodic strip, equipped with homogeneous Neumann boundary conditions for the Keller-Segel part and no-slip boundary condition for the fluid part. We prove the simultaneous space-time analyticity of the solution up to the boundary based on energy methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the space-time analyticity of the Keller-Segel-Navier-Stokes system Abdo, Elie Hu, Zhongtian Analysis of PDEs In this paper, we study the coupled Keller-Segel-Navier-Stokes system, which models chemotaxis occuring in ambient viscous fluid. We consider this nonlinear, nonlocal system on a periodic strip, equipped with homogeneous Neumann boundary conditions for the Keller-Segel part and no-slip boundary condition for the fluid part. We prove the simultaneous space-time analyticity of the solution up to the boundary based on energy methods. |
| title | On the space-time analyticity of the Keller-Segel-Navier-Stokes system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.04564 |